Theorems · Theorem · group theory
Submonoid.sup_eq_range
∀ {N : Type u_4} [inst : CommMonoid N] (s t : Submonoid N), s ⊔ t = MonoidHom.mrange (s.subtype.coprod t.subtype)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement and proof · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- Submonoid.mapproof · cited by 190
- MonoidHom.mrangestatement and proof · cited by 63
- MonoidHom.inlproof · cited by 32
- MonoidHom.inrproof · cited by 32
- Submonoid.subtypestatement and proof · cited by 26
- MonoidHom.mrange_eq_mapproof · cited by 13
- MonoidHom.coprodstatement and proof · cited by 7
- Submonoid.map_supproof · cited by 4
- Submonoid.mrange_subtypeproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.mem_supproof · cited by 3